Question

Sendo r//s, calcule o valor de x+y.

Answer 1

$\left \{ {{3x-50+2y+116 = 180} \atop {2x=5y\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }} \right. \\\\ \left \{ {{3x+2y+66 = 180} \atop {x= \frac{5y}{2} \ \ \ \ \ \ \ \ \ }} \right. \\\\ \left \{ {{3x+2y= 180-66} \atop {x= \frac{5y}{2} \ \ \ \ \ \ \ \ \ }} \right. \\\\ \left \{ {{3x+2y= 114} \atop {x= \frac{5y}{2} \ \ \ \ }} \right. \\\\ Substituindo: \\\\ 3x+2y=114\\\\ 3.(\dfrac{5y}{2})+2y=114\\\\ \dfrac{15y}{2}+2y=114\\\\ \dfrac{15y+4y}{2}=114\\\\ 19y=114.2\\\\ y = \dfrac{228}{19}\\\\ \boxed{y=12\º}$

$x=\dfrac{5y}{2}\\\\ x=\dfrac{5.12}{2}\\\\ x=\dfrac{60}{2}\\\\ \boxed{x=30\º}$

$x+y=12+30=42\º\\\\ Alternativa\ C$

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